{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "Chapter 06\n",
    "# 质地均匀的硬币\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [],
   "source": [
    "import random\n",
    "import statistics\n",
    "import matplotlib.pyplot as plt"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-02T22:00:45.669133Z",
     "end_time": "2024-07-02T22:00:46.139149Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [
    "# 抛硬币实验的次数\n",
    "num_flips = 1000\n",
    "\n",
    "# 用于存储每次抛硬币的结果\n",
    "results = []\n",
    "# 用于存储每次抛硬币后的均值\n",
    "running_means = []"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [],
   "source": [
    "for _ in range(num_flips):\n",
    "    # 随机抛硬币，1代表正面 (H)，0代表反面 (T)\n",
    "    result_idx = random.randint(0, 1)\n",
    "    results.append(result_idx)\n",
    "\n",
    "    # 计算当前所有结果的均值\n",
    "    mean_idx = statistics.mean(results)\n",
    "    running_means.append(mean_idx)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-02T22:01:18.335059Z",
     "end_time": "2024-07-02T22:01:18.435693Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化前100次结果均值随次数变化\n",
    "visual_num = 100\n",
    "plt.scatter(range(1, visual_num + 1), results[0:visual_num],\n",
    "            c=results[0:visual_num], marker=\"o\", cmap='cool')\n",
    "plt.plot(range(1, visual_num + 1), results[0:visual_num])\n",
    "plt.xlabel(\"Number of coin flips\")\n",
    "plt.ylabel(\"Result\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-02T22:01:36.846442Z",
     "end_time": "2024-07-02T22:01:36.981241Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化均值随次数变化\n",
    "plt.plot(range(1, num_flips + 1), running_means)\n",
    "plt.axhline(0.5, color='r')\n",
    "plt.xlabel(\"Number of coin flips\")\n",
    "plt.ylabel(\"Running Mean\")\n",
    "plt.grid(True)\n",
    "plt.ylim(0, 1)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-02T22:01:52.620524Z",
     "end_time": "2024-07-02T22:01:52.721213Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
